A Numerical Method for the Variable-Order Time-Fractional Wave Equations Based on the H2N2 Approximation
Aiming at the initial boundary value problem of variable-order time-fractional wave equations in one-dimensional space, a numerical method using second-order central difference in space and H2N2 approximation in time is proposed. A finite difference scheme with second-order accuracy in space and 3−γ...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/3438289 |
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| _version_ | 1832551600107814912 |
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| author | Xiao Liu Yu Bo Yuanfeng Jin |
| author_facet | Xiao Liu Yu Bo Yuanfeng Jin |
| author_sort | Xiao Liu |
| collection | DOAJ |
| description | Aiming at the initial boundary value problem of variable-order time-fractional wave equations in one-dimensional space, a numerical method using second-order central difference in space and H2N2 approximation in time is proposed. A finite difference scheme with second-order accuracy in space and 3−γ∗ order accuracy in time is obtained. The stability and convergence of the scheme are further discussed by using the discrete energy analysis method. A numerical example shows the effectiveness of the results. |
| format | Article |
| id | doaj-art-3dcfe52be38948ffa171733f47b057d8 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3dcfe52be38948ffa171733f47b057d82025-02-03T06:01:01ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/3438289A Numerical Method for the Variable-Order Time-Fractional Wave Equations Based on the H2N2 ApproximationXiao Liu0Yu Bo1Yuanfeng Jin2College of ScienceCollege of ScienceCollege of ScienceAiming at the initial boundary value problem of variable-order time-fractional wave equations in one-dimensional space, a numerical method using second-order central difference in space and H2N2 approximation in time is proposed. A finite difference scheme with second-order accuracy in space and 3−γ∗ order accuracy in time is obtained. The stability and convergence of the scheme are further discussed by using the discrete energy analysis method. A numerical example shows the effectiveness of the results.http://dx.doi.org/10.1155/2022/3438289 |
| spellingShingle | Xiao Liu Yu Bo Yuanfeng Jin A Numerical Method for the Variable-Order Time-Fractional Wave Equations Based on the H2N2 Approximation Journal of Function Spaces |
| title | A Numerical Method for the Variable-Order Time-Fractional Wave Equations Based on the H2N2 Approximation |
| title_full | A Numerical Method for the Variable-Order Time-Fractional Wave Equations Based on the H2N2 Approximation |
| title_fullStr | A Numerical Method for the Variable-Order Time-Fractional Wave Equations Based on the H2N2 Approximation |
| title_full_unstemmed | A Numerical Method for the Variable-Order Time-Fractional Wave Equations Based on the H2N2 Approximation |
| title_short | A Numerical Method for the Variable-Order Time-Fractional Wave Equations Based on the H2N2 Approximation |
| title_sort | numerical method for the variable order time fractional wave equations based on the h2n2 approximation |
| url | http://dx.doi.org/10.1155/2022/3438289 |
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